Newfoundland & Labrador · Grade 6
Mathematics, Grade 6
Newfoundland & Labrador’s Grade 6 math course, from Number Relationships to Probability.
- Units
- 10
- Lessons
- 20
- Skills
- 42
- Provincial exam
- Yes
- Official curriculum
- Government of Newfoundland and Labrador, Department of Education
Unit by unit
Every skill in the course, numbered by unit.
Unit 1 · 4 skills
Number Relationships
Large Numbers and Place Value
Large and small numbers around us
I can find and describe where large and small numbers are used.
Skill 1.1
The place-value pattern
I can explain the pattern that lets us read numbers of any size.
Skill 1.2
Integers
Integers and the number line
I can extend a number line below zero and describe where integers are used.
Skill 1.3
Comparing and ordering integers
I can compare and order integers using a number line.
Skill 1.4
The official wording · 4 outcomes
- 1.1
- Provide examples of where large and small numbers are used
- 1.2
- Explain how the pattern of the place value system
- 1.3
- Extend a given number line by adding numbers less than zero, and explain the pattern on each side of zero
- 1.4
- Compare two integers; represent their relationship using the symbols
Key ideas
Large and small numbers appear in media, science, and technology.
Below zero, numbers become negative.
Reading a number by its periods helps us say it.
Integers appear on thermometers and elevations.
Ones, tens, and hundreds repeat inside every period.
Watch out for
- Misreading the periods of a large number.
- Thinking -3 is greater than -1 because 3 is bigger than 1.
- Confusing thousands with millions.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 6 skills
Fractions, Percent, and Ratio
Improper Fractions and Mixed Numbers
Improper fractions greater than one
I can model improper fractions and mixed numbers.
Skill 2.1
Converting and placing fractions
I can convert between mixed and improper fractions and place them on a number line.
Skill 2.2
Percent
Percent means out of 100
I can explain what percent means and write it as a fraction and decimal.
Skill 2.3
Modelling and recording percents
I can model percents and find them in real life.
Skill 2.4
Ratio
Writing ratios in many forms
I can write a ratio in different forms.
Skill 2.5
Part-to-part and part-to-whole ratios
I can explain part-to-part and part-to-whole ratios and find equivalent ones.
Skill 2.6
The official wording · 6 outcomes
- 2.1
- Demonstrate, using models, that a given improper fraction represents a number greater than
- 2.2
- Express improper fractions as mixed numbers
- 2.3
- Explain that percent means out of 100
- 2.4
- Use concrete materials and pictorial representations to illustrate a given percent
- 2.5
- Express a given ratio in multiple forms, such as 3:5, or 3 to 5
- 2.6
- Explain the part/whole and part/part ratios of a set
Key ideas
An improper fraction is greater than one whole.
Percent means out of one hundred.
A ratio compares two amounts.
A mixed number pairs a whole with a fraction.
35% is 35/100 and 0.35.
Watch out for
- Thinking every fraction is less than one.
- Writing 35% as 35 without the /100.
- Reversing the order of the two amounts.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 3 skills
Number Theory and Order of Operations
Primes, Composites, Factors, and Multiples
Prime and composite numbers
I can tell prime numbers from composite numbers.
Skill 3.1
Factors and multiples
I can find the factors and multiples of a number.
Skill 3.2
Order of Operations
Order of operations
I can use the order of operations to solve multi-step problems.
Skill 3.3
The official wording · 3 outcomes
- 3.1
- Provide an example of a prime number, and explain why it is a prime number
- 3.2
- Determine all the whole number factors of a given number, using arrays
- 3.3
- Explain, using examples, why there is a need to have a standardized order of operations
Key ideas
A prime number has exactly two factors: 1 and itself.
Multiplication and division come before addition and subtraction.
A composite number has more than two factors.
A shared order means everyone gets the same answer.
Factors divide a number exactly.
Watch out for
- Calling 1 a prime number.
- Working strictly left to right.
- Thinking all odd numbers are prime.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 4 skills
Decimal Operations
Multiplying and Dividing Decimals
Estimating to place the decimal point
I can estimate to place the decimal point in a product or quotient.
Skill 4.1
Multiplying and dividing decimals
I can multiply and divide decimals to solve problems.
Skill 4.2
Percent and Ratio Problems
Solving percent problems
I can solve problems that involve percents.
Skill 4.3
Solving ratio problems
I can solve problems that involve ratios.
Skill 4.4
The official wording · 4 outcomes
- 4.1
- Predict products and quotients of decimals, using estimation strategies
- 4.2
- Solve a given problem that involves multiplication and division of decimals
- 4.3
- Solve a given problem involving percents
- 4.4
- Solve a given problem involving ratio
Key ideas
Estimating with whole numbers shows about where the point goes.
Finding a percent of a number uses multiplication.
A quick estimate catches placement errors.
Estimating first checks the answer.
We multiply and divide the digits, then place the decimal point.
Watch out for
- Ignoring the size of the numbers when placing the point.
- Using the percent as a whole number.
- Counting decimal places incorrectly.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 5 · 4 skills
Patterns and Relationships
Relationships in Tables
Describing relationships in a table
I can describe the relationship in a table of values.
Skill 5.1
Writing a pattern as an expression
I can write a pattern rule as a mathematical expression.
Skill 5.2
Graphs, Tables, and Problems
Reading and building graphs of patterns
I can connect a pattern, a table, and a graph.
Skill 5.3
Using tables to predict and solve
I can use a table's rule to predict values and solve problems.
Skill 5.4
The official wording · 4 outcomes
- 5.1
- Describe the pattern within each column of a given table of values
- 5.2
- Describe the relationship in a given table, using a mathematical expression
- 5.3
- Describe, using everyday language, orally or in writing, the relationship shown on a graph
- 5.4
- Predict the value of an unknown term, using the relationship in a table of values, and verify the prediction
Key ideas
Each column can follow its own pattern.
A graph shows how one quantity changes with another.
A rule connects the two columns.
A table and a graph can show the same pattern.
A variable stands for the term number.
Watch out for
- Describing only one column.
- Reading the axes in the wrong order.
- Stating a rule that fits only the first row.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 6 · 2 skills
Equality and Equations
Keeping Equations Balanced
The commutative property
I can show that order does not matter for addition and multiplication.
Skill 6.1
Preserving equality across operations
I can keep an equation balanced when I change both sides.
Skill 6.2
The official wording · 2 outcomes
- 6.1
- Develop and justify equations using letter variables that illustrate the commutative property of addition and multiplication
- 6.2
- Model the preservation of equality for addition, using concrete materials
Key ideas
a + b = b + a for any numbers.
a x b = b x a for any numbers.
Doing the same thing to both sides keeps an equation true.
This works for all four operations.
Watch out for
- Thinking subtraction is also commutative.
- Believing the property needs specific numbers.
- Changing only one side.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 7 · 5 skills
Measurement
Angles
Classifying and estimating angles
I can classify and estimate angles.
Skill 7.1
Measuring and drawing angles
I can measure and draw angles with a protractor.
Skill 7.2
Angle sums of triangles and quadrilaterals
I can explain the interior angle sums of triangles and quadrilaterals.
Skill 7.3
Perimeter, Area, and Volume
Perimeter and area formulas
I can find perimeter and area using formulas.
Skill 7.4
Volume of right rectangular prisms
I can find the volume of a box using a formula.
Skill 7.5
The official wording · 5 outcomes
- 7.1
- Classify a given set of angles according to their measure
- 7.2
- Measure, using a protractor, given angles in various positions
- 7.3
- Explain, using models, that the sum of the interior angles of a triangle is the same for all triangles
- 7.4
- Generalize a rule (formula) for determining the perimeter of polygons, including rectangles and squares
- 7.5
- Generalize a rule (formula) for determining the volume of right rectangular prisms
Key ideas
Angles are acute, right, obtuse, straight, or reflex.
Perimeter is the distance around a shape.
We can estimate using 45, 90, and 180 degrees as references.
The area of a rectangle is length times width.
A protractor measures angles in degrees.
Watch out for
- Confusing acute and obtuse.
- Confusing perimeter with area.
- Calling a straight angle a reflex angle.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 8 · 9 skills
Geometry and Transformations
Triangles and Polygons
Classifying triangles
I can classify triangles by their sides and angles.
Skill 8.1
Drawing and replicating triangles
I can draw and copy a triangle accurately.
Skill 8.2
Regular and irregular polygons
I can sort polygons and tell regular from irregular ones.
Skill 8.3
Congruence in a regular polygon
I can show that a regular polygon's sides and angles are equal.
Skill 8.4
The Cartesian Plane
Plotting points in the first quadrant
I can plot and name points in the first quadrant.
Skill 8.5
Shapes and distances on the plane
I can name a shape's vertices and find distances on the plane.
Skill 8.6
Transformations
Describing transformations on the plane
I can describe how a transformation moves a shape.
Skill 8.7
Performing transformations and finding the image
I can perform a transformation and find the image's coordinates.
Skill 8.8
Combining successive transformations
I can combine transformations one after another.
Skill 8.9
The official wording · 9 outcomes
- 8.1
- Identify the characteristics of a given set of triangles according to their sides
- 8.2
- Draw a specified triangle; e.g., scalene
- 8.3
- Sort a given set of 2-D shapes into polygons and non-polygons, and explain the sorting rule
- 8.4
- Demonstrate that the sides of a given regular polygon are of the same length and that the angles of a regular polygon are of the same measure
- 8.5
- Label the axes of the first quadrant of a Cartesian plane, and identify the origin
- 8.6
- Identify the coordinates of the vertices of a given 2-D shape
- 8.7
- Describe the positional change of the vertices of a given 2-D shape to the corresponding vertices of its image as a result of a transformation
- 8.8
- Perform a transformation on a given 2-D shape, and identify the coordinates of the vertices of the image
- 8.9
- Model a given set of successive transformations (translations, rotations and/or reflections) of a 2-D shape
Key ideas
Triangles are sorted by side lengths and by angle types.
The origin is where the axes meet.
A transformation moves each vertex the same way.
A scalene triangle has all sides different.
An ordered pair gives the across-then-up position.
Watch out for
- Confusing isosceles and scalene.
- Reversing the x and y coordinates.
- Describing only some vertices.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 9 · 3 skills
Data and Graphs
Collecting Data
Choosing a data collection method
I can choose and use a method to collect data.
Skill 9.1
Choosing an appropriate graph
I can choose the right graph for a set of data.
Skill 9.2
Line Graphs
Creating and interpreting line graphs
I can create and interpret a line graph.
Skill 9.3
The official wording · 3 outcomes
- 9.1
- Select a method for collecting data to answer a given question, and justify the choice
- 9.2
- Determine an appropriate type of graph for displaying a set of collected data, and justify the choice of graph
- 9.3
- Create a line graph from a given table of values or a given set of data
Key ideas
Some questions are best answered by a survey, others by a database.
A line graph has a title, axes, and intervals.
A good questionnaire asks clear questions.
The line shows how a value changes.
The kind of data guides the choice of graph.
Watch out for
- Choosing a method that cannot answer the question.
- Uneven intervals on an axis.
- Writing unclear survey questions.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 10 · 2 skills
Probability
Theoretical and Experimental Probability
Listing outcomes and theoretical probability
I can list outcomes and find the theoretical probability.
Skill 10.1
Comparing theoretical and experimental probability
I can compare theoretical and experimental probability.
Skill 10.2
The official wording · 2 outcomes
- 10.1
- Determine the theoretical probability of an outcome occurring for a given probability experiment
- 10.2
- Distinguish between theoretical probability and experimental probability, and explain the differences
Key ideas
The theoretical probability compares favourable outcomes to all outcomes.
Listing all outcomes helps us count fairly.
Experimental probability comes from actually trying the experiment.
More trials bring the experimental result closer to the theoretical.
Watch out for
- Forgetting some possible outcomes.
- Confusing favourable outcomes with total outcomes.
- Expecting an exact match in a few trials.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Plan the term
Pick your term and the days you study. Each unit gets its share of the weeks and comes back a week later for a review. The last two weeks go over the whole course.
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The official curriculum
This page follows Newfoundland & Labrador’s own curriculum for Mathematics, Grade 6.
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Questions about Mathematics, Grade 6
What is Mathematics, Grade 6?
Newfoundland & Labrador’s Grade 6 math course: 10 units and 42 skills, from Number Relationships to Probability.
What units are in Mathematics, Grade 6?
1. Number Relationships, 2. Fractions, Percent, and Ratio, 3. Number Theory and Order of Operations, 4. Decimal Operations, 5. Patterns and Relationships, 6. Equality and Equations, 7. Measurement, 8. Geometry and Transformations, 9. Data and Graphs and 10. Probability.
Is there a provincial exam for Mathematics, Grade 6?
Yes. The Provincial Reading and Mathematics Assessment: Mathematics, Grade 6 (PRMA) is written in Newfoundland & Labrador. Next sitting: May 25, 2027.
What comes after Mathematics, Grade 6?
Mathematics, Grade 7.
Can MapleMind help with Mathematics, Grade 6?
Yes. MapleMind teaches every skill of Mathematics, Grade 6, step by step, with practice and checks, and its tutor answers questions about any of them. It’s free with daily limits, on iPhone, Android and the web.
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